Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
Is it 0.5? if so, the answer is 0.25%
if it is supposed to be just a 5 then the answer would be 2.5%
96/4. You should get the answer by dividing 96 by 4.
First choice is "1 of 10 grape lollipops from 35 lollipops"
The probablity is 10/35 = 2/7
Second choice is "1 of 18 apple lollipops from 34 lollipops"
So probablity is 18/34 = 9/17
Between this is AND so you have to these probablities multiply:
P(A) = 2/7 * 9/17 = 18/119
P(A) = 18/119 * 100% = 1800/119 %
It is approximaly 15,1 %.
Answer:
-3/5
Step-by-step explanation:
Parallel lines have the same slope. If ab has a slope of -3/5 and is parallel to cd, the cd has a slope of -3/5
